We have a triangle BCD with vertices
[tex]\lbrace(2,1),(4,4),(4,0)\rbrace[/tex]
The transformation is a reflection in the line x = 0(also know as the y-axis). A reflection on the y-axis is given by the following transformation:
[tex](x,y)\rightarrow(-x,y)[/tex]
Doing this transformation on each one of our vertices, we can find the transformed figure.
[tex]\begin{gathered} (2,1)\rightarrow(-2,1) \\ (4,4)\rightarrow(-4,4) \\ (4,0)\rightarrow(-4,0) \end{gathered}[/tex]
Then, the image is
[tex]\lbrace(-2,1),(-4,4),(-4,0)\rbrace[/tex]
The option that fits this transformation is option b.
